Mobile user forecast and power-law acceleration invariance of scale-free networks
Guo Jin-Li(郭进利)a)†, Guo Zhao-Hua(郭曌华) a)b) , and Liu Xue-Jiao(刘雪娇)a)
a Business School, University of Shanghai for Science and Technology, Shanghai 200093, China; b College of Mechanical Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China
Abstract This paper studies and predicts the number growth of China's mobile users by using the power-law regression. We find that the number growth of the mobile users follows a power law. Motivated by the data on the evolution of the mobile users, we consider scenarios of self-organization of accelerating growth networks into scale-free structures and propose a directed network model, in which the nodes grow following a power-law acceleration. The expressions for the transient and the stationary average degree distributions are obtained by using the Poisson process. This result shows that the model generates appropriate power-law connectivity distributions. Therefore, we find a power-law acceleration invariance of the scale-free networks. The numerical simulations of the models agree with the analytical results well.
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 70871082) and the Shanghai Leading Academic
Discipline Project, China (Grant No. S30504).
Cite this article:
Guo Jin-Li(郭进利), Guo Zhao-Hua(郭曌华), and Liu Xue-Jiao(刘雪娇) Mobile user forecast and power-law acceleration invariance of scale-free networks 2011 Chin. Phys. B 20 118902
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